Results 71 to 80 of about 66,461 (287)
On fractal faithfulness and fine fractal properties of random variables with independent -digits
Modern Stochastics: Theory and Applications, 2016 We develop a new technique to prove the faithfulness of the Hausdorff–Besicovitch dimension calculation of the family $\varPhi ({Q}^{\ast })$ of cylinders generated by ${Q}^{\ast }$-expansion of real numbers.
Muslem Ibragim, Grygoriy Torbin
doaj +1 more source
On the dimension of a certain measure in the plane [PDF]
, 2013 We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
core
MRI of Neurogenic Human Motor Units Following Poliomyelitis
Muscle &Nerve, EarlyView.ABSTRACT Introduction/Aims Surviving motor units in neurogenic diseases demonstrate collateral reinnervation. Scanning electromyography (EMG) reveals normal motor unit corridor length, but with “silent regions,” suggesting that reinnervation does not result in increased motor unit size but may increase motor unit complexity.
Stuart Maitland +6 more
wiley +1 more source
Transfinite Hausdorff dimension
Topology and its Applications, 2009 The author develops the concept of transfinite Hausdorff dimension. The primary goal of this dimension is to classify metric spaces with infinite Hausdorff dimension. Felix Hausdorff defined the concept of Hausdorff dimension, \(HD(X,\rho)\) of a metric space \((X,\rho)\).
openaire +2 more sources
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT Monge–Ampère equations (MAEs) are fully nonlinear second‐order partial differential equations (PDEs), which are closely related to various fields including optimal transport (OT) theory, geometrical optics and affine geometry. Despite their significance, MAEs are extremely challenging to solve.
Xinghua Pan, Zexin Feng, Kang Yang
wiley +1 more source
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Hausdorff dimension of wild fractals [PDF]
Transactions of the American Mathematical Society, 1992 We show that for every s ∈ [ n − 2 , n ] s \in [n - 2,n] there exists a homogeneously embedded wild Cantor set C s {C^s} in R n , n ≥ 3
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Noncommutative space–time and Hausdorff dimension [PDF]
International Journal of Modern Physics A, 2017 We study the Hausdorff dimension of the path of a quantum particle in noncommutative space–time. We show that the Hausdorff dimension depends on the deformation parameter [Formula: see text] and the resolution [Formula: see text] for both nonrelativistic and relativistic quantum particle.
Anjana, V., Harikumar, E., Kapoor, A. K.
openaire +3 more sources
Limit Orders and Knightian Uncertainty
International Economic Review, EarlyView.ABSTRACT A wide variety of financial instruments allows risk‐averse traders to reduce their exposure to risk. This raises the question of what financial instruments allow ambiguity‐averse traders to reduce their exposure to ambiguity. We show in this paper that price‐contingent orders, such as limit orders, are sufficient: In a two‐period trading model,
Michael Greinecker, Christoph Kuzmics
wiley +1 more source